Simplification of spatially distributed systems

Author

Beck, Carolyn ; D´Andrea, Raffaello

Author_Institution

Dept. of Gen. Eng., Illinois Univ., Urbana, IL, USA

Volume

1

fYear

1999

fDate

6/21/1905 12:00:00 AM

Firstpage

620

Abstract

A technique for the simplification of spatially distributed systems is presented. This technique relies on linear matrix inequality (LMI) based reduction results originally developed for the simplification of uncertain and multi-dimensional systems. The original results are applicable to systems that can be modelled by linear fractional transformations (LFTs) on structured operator sets whose elements are assumed to be temporal variables. In the paper, the original LFT results are extended to systems written as LFTs on spatial variables as well as on temporal variables. The main technical difference in the derivation of the new reduction results is a relaxation of standard causality requirements (or equivalently stability requirements), which in turn leads to a relaxation of the constraints to the relevant LMI solutions

Keywords

closed loop systems; distributed parameter systems; matrix algebra; reduced order systems; robust control; uncertain systems; causality requirements; linear fractional transformations; linear matrix inequality; reduction results; spatial variables; spatially distributed systems; stability requirements; structured operator sets; temporal variables; Aerodynamics; Control systems; Intelligent sensors; Linear matrix inequalities; Measurement standards; Reduced order systems; Sensor phenomena and characterization; Stability; Unmanned aerial vehicles; Vehicle dynamics;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.832854

Filename

832854